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112212223120332 = 223337128747218111
BaseRepresentation
bin11001100000111001110001…
…101100101101001111001100
3112201022101100202122011111000
4121200321301230231033030
5104201441113104322312
61034353330022500300
732431031332006146
oct3140716154551714
9481271322564430
10112212223120332
1132832a33648415
1210703592594690
134a7c74b2aa27a
141d9d159dadc96
15ce8d6dca9adc
hex660e71b2d3cc

112212223120332 has 96 divisors (see below), whose sum is σ = 298786987376640. Its totient is φ = 36392703917760.

The previous prime is 112212223120313. The next prime is 112212223120351. The reversal of 112212223120332 is 233021322212211.

112212223120332 is a `hidden beast` number, since 1 + 1 + 2 + 2 + 12 + 2 + 2 + 312 + 0 + 332 = 666.

It is an interprime number because it is at equal distance from previous prime (112212223120313) and next prime (112212223120351).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 112212223120296 and 112212223120305.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 514363957 + ... + 514582067.

It is an arithmetic number, because the mean of its divisors is an integer number (3112364451840).

Almost surely, 2112212223120332 is an apocalyptic number.

112212223120332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

112212223120332 is an abundant number, since it is smaller than the sum of its proper divisors (186574764256308).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

112212223120332 is a wasteful number, since it uses less digits than its factorization.

112212223120332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346908 (or 346900 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 112212223120332 its reverse (233021322212211), we get a palindrome (345233545332543).

The spelling of 112212223120332 in words is "one hundred twelve trillion, two hundred twelve billion, two hundred twenty-three million, one hundred twenty thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 108 111 148 222 333 444 666 999 1332 1998 3996 128747 218111 257494 386241 436222 514988 654333 772482 872444 1158723 1308666 1544964 1962999 2317446 2617332 3476169 3925998 4634892 4763639 5888997 6952338 7851996 8070107 9527278 11777994 13904676 14290917 16140214 19054556 23555988 24210321 28581834 32280428 42872751 48420642 57163668 72630963 85745502 96841284 128618253 145261926 171491004 217892889 257236506 290523852 435785778 514473012 871571556 28081136917 56162273834 84243410751 112324547668 168486821502 252730232253 336973643004 505460464506 758190696759 1010920929012 1039002065929 1516381393518 2078004131858 3032762787036 3117006197787 4156008263716 6234012395574 9351018593361 12468024791148 18702037186722 28053055780083 37404074373444 56106111560166 112212223120332